Higher November 2017 Unit 1 Q14
14. The two triangles shown below are not drawn to scale.
Which one of the following statements is correct?
Give full reasons for your answer. [2]
| A: the triangles must be congruent |
| B: the triangles could be congruent |
| C: the triangles cannot be congruent |
The correct statement is ……………………
This is because …………………………………………
| Scheme | Marks | Comments |
|---|---|---|
| Missing angle(s) is/are 59° or 84° AND statement B (identified or implied) | B1 | (Check diagrams) If two angles are given, they must both be correct. |
| Explanation that having equal angles is not a sufficient condition for congruency or Explanation that the (corresponding) side lengths could be different / same (even though the angles are equal) | E1 | Accept valid alternatives e.g. the triangles are similar but not necessarily congruent or e.g. if (a pair of corresponding) side lengths were known, we could apply ASA to test for congruency |